• Sonuç bulunamadı

For this reason, a g-Lie ideal of a gamma ring is introduced and some new properties have been obtained in gamma rings

N/A
N/A
Protected

Academic year: 2021

Share "For this reason, a g-Lie ideal of a gamma ring is introduced and some new properties have been obtained in gamma rings"

Copied!
1
0
0

Yükleniyor.... (view fulltext now)

Tam metin

(1)

ix ABSTRACT

COMMUTATIVITY AND STRUCTURE OF GAMMA RINGS Okan ARSLAN

Ph.D. Thesis, Department of Mathematics Supervisor: Prof. Hatice KANDAMAR

2015, 79 pages

The objective of this thesis is to find commutativity conditions in prime gamma rings with derivation of characteristic not 2. For this reason, a g-Lie ideal of a gamma ring is introduced and some new properties have been obtained in gamma rings.

The study consists of five sections basically. In the first chapter, the emergence of the gamma ring is summarized and and some works which have been done in the literature about the gamma rings have been mentioned.

In the second chapter, some definitions and properties have been given which are the basis of this work.

In the third chapter, some new notions have been introduced and get new properties in gamma rings with the help of these notions.

In the forth chapter, some results have been given about the structure of the gamma rings by the help of the properties ofg-Lie ideals in the gamma rings with derivation. In the last chapter, the relations between the rings and the gamma rings have been established and the relations between the radicals and the g-radicals of gamma rings have been investigated.

Key Words: Gamma ring, Prime gamma ring, k-derivation, Lie ideal, Commutativity

Referanslar

Benzer Belgeler

Much effort and attention has been paid for preservation of female fertility in patients with cancer who may loss their ovary function after chemo-/radiotherapy.. As early diagnosis

Drive 1992’de yapmış olduğu bir çalışmaya göre serbest zaman becerilerinin insan yaşamındaki ve kişiye sağladığı yararları altı başlık altında

Formel ya da informel çalışma biçimine sahip ya da gelir getirici bir faaliyette bulunmayan tüm kadınların ev içi üretimleri, ev içi sorumlulukları, evde bakım yükleri

Among the first to do so was Sayyid ‘Ali Hariri’s Book of the Splendid Stories of the Crusades (Cairo: 1899), the first Arabic-language study of the Crusades, to Syed Qutb’s use

Employing the concept of metacritique, as refractive method for both cinematic medium and philosophical content, essay film becomes essayistic when a film or cinematic work of

We determine the position of the class of J-normal rings in the ring theory by investigating the relations between the class of J-normal rings and certain classes of rings such

Tez çalışması kapsamında bazı antidepresan ilaç etken maddeleri olan Paroksetin, Fluoksetin, Duloksetin, Sitolapram, Essitolapram, Venlafaksin, Sertralin, Ketiapin,

Operasyondan 5 gün önce başlanan glutamin ile trakeotomi sonrası başlanan glutamin uygulaması arasında trakea iyileşmesi açısından histopatolojik olarak